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In a 100 m race between A and B, A wins by 10 m. In a 100 m race between B and C, B wins by 10 m. In a 100 m race between A and C, who will win and by how much?

A) A, by 4 meters
B) A, by 12 meters
C) A, by 10 meters
D) A, by 19 meters

Correct Answer:




D) A, by 19 meters

Description for Correct answer:
In a 100 m race between A and B, A wins by 10 m. This means that when A runs 100 m, B runs 90 m.

Similarly, when B runs 100 m, C runs 90 m.

lf we find out the distance that C will run when B runs 90 m, we will have the answer for the distance that C will run when A runs 100m.

when B runs 100m, C runs 90m. Therefore, when B runs 90m, C runs \( \Large \frac{90}{100} \times 90 \) = 81 m.

Hence in a 100 m race between A and C, A wins the race and wins by 100 - 81 = 19 m.

Part of solved Time and Distance questions and answers : >> Aptitude >> Time and Distance

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Similar Questions

1). In a 500 m race between A and B. A wins by 20m. In the same race between A and C, A wins by 30 m, If B and C were to run a 500 m race, who will win the race and by how much?

A). B, 10.5 meters

B). B, 12.5 meters

C). B, 14.5 meters

D). B, 15.5 meters

2). In a 100m race, A runs at 5 m/sec. Even if B starts 8 m ahead of A. A wins by 3 sec., What is the speed of B?

A). 6 m/sec

B). 4 m/sec

C). 2 m/sec

D). 1 m/sec

3). In a km race, even if B starts 20 seconds ahead, A wins by 40 m. However, if B starts 25 seconds ahead they finish together. What are their respective speeds in m/sec?

A). A-12 m/sec, B-10 m/sec

B). A-15 m/sec, B-13 m/sec

C). A-10 m/sec, B- 8 m/sec

D). A-16 m/sec, B-14 m/sec

4). A can run a 400m race in 40 seconds, while B takes 50 seconds to complete it. If B starts 100 m ahead in the race, by how many seconds will he win the race?

A). B, 4.5 seconds

B). B, 5.5 seconds

C). B, 6.5 seconds

D). B, 2.5 seconds

5). A and B start simultaneously from the same point along a circular track of length 1 km in the same direction at 4 m/sec and 5 m/sec respectively.
(i) When will they meet for the first time and at what point with respect to the starting
point in the direction of their sprint will they meet.
(ii) When will they meet for the first time at the starting-point?

A). (i) A has run 3 laps and B has run 4 laps (ii) 750 seconds

B). (i) A has run 4 laps and B has run 5 laps (ii)1000 seconds

C). (i) A has run 5 laps and B has run 6 laps (ii)1250 seconds

D). (i) A has run 5 laps and B has run 4 laps (ii)1500 seconds

6). A and B start on a circular track of length 400 m simultaneously from the same point in
opposite direction running at 5 m/sec and 3 m/sec respectively.
(i) When will they meet for the first time?
(ii) What point with respect to the starting point in the direction in which A runs will they meet?
(iii) When will they meet for the first time at the starting point?
(iv) How many times would they have met before they meet for the first time at the starting
point again?

A). (i) 60 seconds (ii) 350 m (iii) 450 seconds (iv) 6 times

B). (i) 40 seconds (ii) 200 m (iii) 350 seconds (iv) 8 times

C). (i) 50 seconds (ii) 250 m (iii) 400 seconds (iv) 7 times

D). (i) 80 seconds (ii) 300 m (iii) 500 seconds (iv) 5 times

7). A and B run around a circular track of radius 70 meters starting from the same point simultaneously and in the same direction. lf A runs at 25 m/min and B runs at 36 m/min, when will they meet for the first time?

A). 50 min

B). 55 min

C). 60 min

D). 40 min

8). Three people A, B and C run around a circular track of length 400 m starting simultaneously from the same point in the same direction at 5m/sec, 8 m/sec and 3 m/sec respectively.
(i) When will they meet for the first time and at what point will they meet?
(ii) When will they meet for the first time at the starting point?

A). (i) 400 seconds (ii) 400 seconds

B). (i) 450 seconds (ii) 500 seconds

C). (i) 500 seconds (ii) 550 seconds

D). (i) 300 seconds (ii) 400 seconds

9). In a kilometer race, A beats B by 10 seconds or 60 meters. How long does B take to run the course?

A). 166.67 Secs,

B). 233.33 Secs.

C). 333.67 Secs.

D). 266.67 Secs.

10). A runs \( \Large 2\frac{1}{4} \) times as fast as B. In a race between A and B, A wins by 75 meters. What is the length of the race?

A). 100 meters

B). 135 meters

C). 150 meters

D). 200 meters